{
  "cells": [
    {
      "cell_type": "code",
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      "source": [
        "%matplotlib inline"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "\n",
        "# Support Vector Regression (SVR) using linear and non-linear kernels\n",
        "\n",
        "Toy example of 1D regression using linear, polynomial and RBF kernels.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "collapsed": false
      },
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        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Automatically created module for IPython interactive environment\n"
          ]
        },
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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "print(__doc__)\n",
        "\n",
        "import numpy as np\n",
        "from sklearn.svm import SVR\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# #############################################################################\n",
        "# Generate sample data\n",
        "X = np.sort(5 * np.random.rand(40, 1), axis=0)\n",
        "y = np.sin(X).ravel()\n",
        "\n",
        "# #############################################################################\n",
        "# Add noise to targets\n",
        "y[::5] += 3 * (0.5 - np.random.rand(8))\n",
        "\n",
        "# #############################################################################\n",
        "# Fit regression model\n",
        "svr_rbf = SVR(kernel='rbf', C=100, gamma=0.1, epsilon=.1)\n",
        "svr_lin = SVR(kernel='linear', C=100, gamma='auto')\n",
        "svr_poly = SVR(kernel='poly', C=100, gamma='auto', degree=3, epsilon=.1,\n",
        "               coef0=1)\n",
        "\n",
        "# #############################################################################\n",
        "# Look at the results\n",
        "lw = 2\n",
        "\n",
        "svrs = [svr_rbf, svr_lin, svr_poly]\n",
        "kernel_label = ['RBF', 'Linear', 'Polynomial']\n",
        "model_color = ['m', 'c', 'g']\n",
        "\n",
        "fig, axes = plt.subplots(nrows=1, ncols=3, figsize=(15, 10), sharey=True)\n",
        "for ix, svr in enumerate(svrs):\n",
        "    axes[ix].plot(X, svr.fit(X, y).predict(X), color=model_color[ix], lw=lw,\n",
        "                  label='{} model'.format(kernel_label[ix]))\n",
        "    axes[ix].scatter(X[svr.support_], y[svr.support_], facecolor=\"none\",\n",
        "                     edgecolor=model_color[ix], s=50,\n",
        "                     label='{} support vectors'.format(kernel_label[ix]))\n",
        "    axes[ix].scatter(X[np.setdiff1d(np.arange(len(X)), svr.support_)],\n",
        "                     y[np.setdiff1d(np.arange(len(X)), svr.support_)],\n",
        "                     facecolor=\"none\", edgecolor=\"k\", s=50,\n",
        "                     label='other training data')\n",
        "    axes[ix].legend(loc='upper center', bbox_to_anchor=(0.5, 1.1),\n",
        "                    ncol=1, fancybox=True, shadow=True)\n",
        "\n",
        "fig.text(0.5, 0.04, 'data', ha='center', va='center')\n",
        "fig.text(0.06, 0.5, 'target', ha='center', va='center', rotation='vertical')\n",
        "fig.suptitle(\"Support Vector Regression\", fontsize=14)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": []
    }
  ],
  "metadata": {
    "kernelspec": {
      "name": "python376jvsc74a57bd073e03da126b73bfff3642ec5261d56fa25c444ea595de51041687efaa60dda41",
      "display_name": "Python 3.7.6 64-bit (conda)"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.7.6-final"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}